Finding the Third Proportional to 53,291.50 and 82,124.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,291.50 : 82,124.50 = 82,124.50 : x
2. Step 2: Convert to fraction form
   53,291.50/82,124.50 = 82,124.50/x
3. Step 3: Cross multiply
   53,291.50x = 82,124.50 × 82,124.50
4. Step 4: Simplify right side
   53,291.50x = 6,744,433,500.25
5. Step 5: Solve for x
   x = 6,744,433,500.25/53,291.50
6. Step 6: Final answer
   x = 126,557.40